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Finding the Fourth Proportional to 9,217.66, 13,822.17 and 3,370.18

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Solution

The fourth proportional to 9,217.66, 13,822.17 and 3,370.18 is: 5,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.66 : 13,822.17 = 3,370.18 : x
  2. Step 2: Convert to fraction form
    9,217.66/13,822.17 = 3,370.18/x
  3. Step 3: Cross multiply
    9,217.66x = 13,822.17 × 3,370.18
  4. Step 4: Simplify right side
    9,217.66x = 46,583,200.89
  5. Step 5: Solve for x
    x = 46,583,200.89/9,217.66
  6. Step 6: Final answer
    x = 5,053.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.